The frequency (oscillations per second) of a particular microwave generated by a microwave oven is approximately 1,450,000,000 hertz. (One hertz is one oscillation in 1 second.) Write this number in scientific notation.


Mathematics

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Write the statement in symbolic form.p: Manuel is Carmen's brother.q: Carmen is Manuel's sister. Manuel is not Carmen's brother if and only if Carmen is not Manuel's sister.

A. p ? ~ q B. ~ p ? ~ q C. ~ p ? ~ q D. ~ p ? ~ q

Mathematics

Solve the equation by completing the square.x2 + 10x + 10 = 0

A. 5 ±  
B. -10 + 
C. 5 + 
D. -5 ± 

Mathematics

Identify the equation without applying a rotation of axes.4x2 - 12xy + 4y2 + 4x - 2y - 5 = 0

A. ellipse B. parabola C. hyperbola D. not a conic

Mathematics

Solve the problem and answer the question.A baker can decorate the day's cookie supply four times as fast as his new assistant. If they decorate all the cookies working together in 28 minutes, how long would it take for each of them to decorate the cookies working individually?

A. baker: 35 min
assistant: 140 min
B. baker: 140 min
assistant: 35 min
C. baker: 8 min
assistant: 33 min
D. baker: 140 min
assistant: 560 min

Mathematics